In [1]:
import cv2
import numpy as np
In [2]:
#constants
CELL_SIZE = 20 #size of image (for cutting sheet?)
NCLASSES = 10 #number of digits 0-9
TRAIN_RATIO = 0.8  # Part of all samples used for training.
In [29]:
digits_img = cv2.imread('data/digits.png', 0)
print(digits_img.shape)
digits_img
(1000, 2000)
Out[29]:
array([[0, 0, 0, ..., 0, 0, 0],
       [0, 0, 0, ..., 0, 0, 0],
       [0, 0, 0, ..., 0, 0, 0],
       ...,
       [0, 0, 0, ..., 0, 0, 0],
       [0, 0, 0, ..., 0, 0, 0],
       [0, 0, 0, ..., 0, 0, 0]], dtype=uint8)
In [25]:
#// is floor division (round down to nearest whole number)
#hsplit cuts into columns
#vsplit cuts into rows
digits = [np.hsplit(r, digits_img.shape[1] // CELL_SIZE) for r in np.vsplit(digits_img, digits_img.shape[0] // CELL_SIZE)]
digits
Out[25]:
[[array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   9,  33,
            9,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  41, 177, 249,
          178,  29,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,  33, 198, 255, 240,
          255, 107,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   1,  70, 199, 255, 255, 197,
          154, 253,  98,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  45, 238, 255, 205, 224, 222,
           83, 224, 128,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  25, 202, 255, 193,  40,  99,  54,
            0, 190, 197,  16,   0,   0,   0],
         [  0,   0,   0,   0,   0,  20, 163, 246, 152,  72,   0,   0,   0,
            0, 184, 252,  74,   0,   0,   0],
         [  0,   0,   0,   0,   0,  97, 255, 118,   0,   1,   0,   0,   0,
            0, 184, 255,  82,   0,   0,   0],
         [  0,   0,   0,   0,  20, 218, 216,  17,   0,   0,   0,   0,   0,
            0, 183, 255,  78,   0,   0,   0],
         [  0,   0,   0,   0,  67, 255, 138,   0,   0,   0,   0,   0,   0,
           24, 215, 188,  22,   0,   0,   0],
         [  0,   0,   0,   0,  69, 247,  87,   0,   0,   0,   0,   0,  31,
          185, 212,  54,   0,   0,   0,   0],
         [  0,   0,   0,   0,  71, 237,  68,   0,   0,   0,   0,  94, 211,
          177,  17,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  69, 255, 170,  39,  39, 115, 183, 238, 185,
           37,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  57, 245, 255, 229, 233, 255, 216, 117,  13,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   7, 114, 230, 255, 234, 137,  38,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  26,  38,  27,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   5,
           38,  11,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  13, 132,
          255, 159,  28,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  21, 130, 240,
          255, 254, 165,   1,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  29, 103, 225, 251, 242,
          176, 241, 197,   3,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  58, 205, 255, 255, 255, 231,
           80, 215, 198,   3,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  56, 216, 255, 207, 223, 255, 210,
           73, 220, 197,   3,   0,   0,   0],
         [  0,   0,   0,   0,   0,  60, 218, 255, 191,  24, 128, 224,  66,
           13, 193, 196,   3,   0,   0,   0],
         [  0,   0,   0,   0,   1, 202, 255, 150,  25,   0,  56,  44,   0,
            0, 146, 195,   3,   0,   0,   0],
         [  0,   0,   0,   0,  74, 255, 115,   0,   0,   0,   0,   0,   0,
            0, 146, 196,   3,   0,   0,   0],
         [  0,   0,   0,  50, 220, 255, 107,   0,   0,   0,   0,   0,   0,
           14, 193, 199,   3,   0,   0,   0],
         [  0,   0,   0,  81, 252, 223,  46,   0,   0,   0,   0,   0,   0,
          128, 255, 155,   0,   0,   0,   0],
         [  0,   0,   0,  81, 251, 236,  58,   0,   0,   0,   0,  36, 143,
          254, 174,  17,   0,   0,   0,   0],
         [  0,   0,   0,  36, 203, 255, 194, 126,  69, 115, 142, 205, 246,
          127,  20,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  39, 186, 250, 255, 248, 255, 255, 188,  68,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   9, 115, 233, 252, 182, 116,  25,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  27,  34,  11,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  41, 112, 111,
           84,   5,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   6, 176, 255, 255,
          251, 137,  31,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   2, 166, 254, 252, 255,
          255, 252,  83,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  37, 219, 255, 255, 178,
          217, 254,  83,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  69, 233, 255, 223,  68,  13,
          172, 255,  83,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0, 130, 255, 255, 176,   0,   4,
          174, 255,  82,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0, 159, 255, 252,  86,   0,  92,
          237, 254,  85,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  22, 222, 255, 154,   8,   0, 190,
          255, 238,  61,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0, 136, 255, 246,  52,   0,  19, 207,
          255, 153,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  22, 192, 255, 242,  54,   0, 105, 252,
          202,  29,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  23, 195, 255, 185,   7,  82, 237, 255,
          150,   2,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  23, 196, 255, 177,  97, 232, 255, 176,
           22,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  22, 198, 255, 249, 251, 255, 238,  48,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   4, 110, 250, 255, 255, 212,  56,   3,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0, 122, 216, 119,  55,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,  26,  29,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   3, 181, 243,
          125,  21,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,  11, 132, 226, 255,
          219,  33,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,  42, 231, 255, 250,
          254, 149,  13,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   7, 108, 175, 246, 255, 255,
          254, 249,  74,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  20, 210, 255, 255, 196, 118,
          204, 255, 144,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  64, 168, 253, 210, 119,  35,  29,
          215, 255, 193,   3,   0,   0,   0],
         [  0,   0,   0,   0,   0,  14, 186, 255, 255, 156,   0,   0,  35,
          213, 255, 225,  46,   0,   0,   0],
         [  0,   0,   0,   0,   0,  75, 229, 255, 115,   3,   0,   0,  33,
          211, 255, 134,   5,   0,   0,   0],
         [  0,   0,   0,   0,   3, 190, 255, 239,  64,   0,   0,   0,  59,
          255, 152,   7,   0,   0,   0,   0],
         [  0,   0,   0,   0,   1, 169, 255, 237,  90,   0,   0,  74, 156,
          228,  93,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   5, 204, 255, 208,  46,  47, 114, 215, 255,
          136,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   2, 175, 255, 252, 216, 223, 255, 255, 216,
           37,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   1, 162, 253, 253, 255, 255, 232, 180,  52,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  21, 174, 255, 218, 147,  74,   8,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  13,  37,  23,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   5,  57, 111, 108,
          109, 100,   9,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  53, 155, 233, 255, 255,
          255, 255, 137,  11,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  19,  88, 231, 255, 255, 252, 252,
          252, 255, 223,  43,   0,   0,   0],
         [  0,   0,   0,   0,   0,   5, 154, 255, 255, 255, 255, 255, 219,
          195, 255, 221,  43,   0,   0,   0],
         [  0,   0,   0,   0,   0,  81, 236, 255, 255, 157, 114, 202, 107,
          144, 255, 221,  43,   0,   0,   0],
         [  0,   0,   0,   0,  20, 225, 255, 235, 106,  15,   0,  12,   0,
           80, 243, 223,  43,   0,   0,   0],
         [  0,   0,   0,   0, 105, 253, 255, 141,   0,   0,   0,   0,   3,
          151, 255, 221,  43,   0,   0,   0],
         [  0,   0,   0,   6, 159, 255, 181,  16,   0,   0,   0,   0,   2,
          140, 255, 222,  43,   0,   0,   0],
         [  0,   0,   0,  45, 227, 248,  93,   0,   0,   0,   0,   0,   0,
           55, 238, 226,  44,   0,   0,   0],
         [  0,   0,   0,  59, 231, 236,  57,   0,   0,   0,   0,   0,   0,
           74, 242, 212,  36,   0,   0,   0],
         [  0,   0,   0,  89, 244, 236,  60,   0,   0,   0,   0,   0,  54,
          212, 255, 134,   0,   0,   0,   0],
         [  0,   0,   0,  41, 224, 239,  67,   0,   0,   0,   0,  47, 208,
          255, 242,  72,   0,   0,   0,   0],
         [  0,   0,   0,  41, 217, 255, 228, 116,  81,  81, 141, 237, 254,
          198,  80,   0,   0,   0,   0,   0],
         [  0,   0,   0,   6, 158, 255, 255, 255, 255, 255, 255, 255, 163,
           13,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  41, 205, 218, 216, 216, 219, 202, 107,  14,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
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         [  0,   0,   0,   0,   0,   0,   0, 115, 202, 249, 248, 165, 154,
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         [  0,   0,   0,   0,   0,   0,  71, 243, 255, 254, 255, 255, 255,
          255, 200,  27,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  44, 221, 255, 252, 255, 245, 217, 254,
          255, 255, 142,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0, 103, 255, 253, 255, 245, 103,  22, 104,
          229, 255, 191,   0,   0,   0,   0],
         [  0,   0,   0,   0,  19, 210, 255, 251, 184,  88,   0,   0,   0,
           38, 169, 237,  76,   0,   0,   0],
         [  0,   0,   0,   0, 109, 255, 250, 186,  19,   0,   0,   0,   0,
            0, 128, 255, 197,  15,   0,   0],
         [  0,   0,   0,   0, 154, 255, 218,  26,   0,   0,   0,   0,   0,
            0,  54, 228, 236,  28,   0,   0],
         [  0,   0,   0,   0, 153, 255, 182,  10,   0,   0,   0,   0,   0,
            0,   0, 159, 238,  27,   0,   0],
         [  0,   0,   0,   0, 153, 255, 205,  15,   0,   0,   0,   0,   0,
            0,   1, 179, 237,  28,   0,   0],
         [  0,   0,   0,   0, 144, 255, 246, 113,   0,   0,   0,   0,   0,
            0,  66, 255, 227,  24,   0,   0],
         [  0,   0,   0,   0,  43, 204, 255, 244, 139,  28,   0,   0,   0,
           15, 183, 252, 110,   1,   0,   0],
         [  0,   0,   0,   0,   0,  38, 200, 255, 255, 199,  95,  63,  66,
          167, 255, 142,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  41, 142, 213, 255, 255, 255, 255,
          255, 173,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  30,  98, 185, 221, 214,
          134,  24,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  18,  97, 103,
           23,   0,   0,   0,   0,   0,   0],
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            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0, 113, 255, 127,   2,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  72, 250, 234,  30,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  32, 197, 255, 116,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  90, 255, 158,   3,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  50, 118,  27,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   9,  95, 165, 125,   4,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  38, 186, 213, 115, 159,  30,
            1,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  50, 212, 196,  41,   0,  14, 143,
           77,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  38, 212, 190,  21,   0,   0,  43, 243,
          132,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   6, 174, 212,  24,   0,   0,   0,  87, 250,
          118,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  33, 248,  97,   0,   0,   9, 102, 218, 255,
          117,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  25, 231, 182, 118, 150, 227, 209, 135, 228,
           93,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  75, 196, 218, 179, 108,  27,   0, 195,
          100,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  13,  20,   7,   0,   0,   1, 200,
          119,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  33, 219,
           78,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  65, 227,
           71,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  66, 225,
           64,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  67, 214,
           30,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  71, 219,
           20,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  39, 114,
            7,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  16,  99, 185, 185, 189,
          156,  41,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  98, 235, 255, 255, 255, 255,
          255, 246,  85,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  89, 254, 254, 172,  99,  87,  86,
          161, 251, 202,  29,   0,   0,   0],
         [  0,   0,   0,   0,   6, 167, 254, 238, 104,   9,   0,   0,  30,
          195, 255, 237,  56,   0,   0,   0],
         [  0,   0,   0,   0,  87, 255, 210,  77,   1,   0,   0,   0, 174,
          255, 236, 137,  23,   0,   0,   0],
         [  0,   0,   0,  24, 211, 220,  48,   0,   0,   0,  11, 132, 243,
          255, 135,   0,   0,   0,   0,   0],
         [  0,   0,   0,  54, 229, 101,   0,   0,   0,  13, 174, 254, 255,
          235,  56,   0,   0,   0,   0,   0],
         [  0,   0,   0,  54, 231, 126,   0,  35, 100, 176, 255, 255, 255,
          132,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,  32, 210, 246, 189, 226, 255, 255, 233, 247, 249,
           88,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,  80, 229, 253, 255, 203, 106,  68, 224, 229,
           41,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   2,  47,  74,  80,  28,   0,  91, 255, 164,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   5, 197, 255,  72,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,  61, 247, 186,  17,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   4, 176, 255,  79,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   9, 120, 130,  23,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  88, 181, 142,   5,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  77, 229, 155, 210, 146,  14,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0, 161, 152,   0, 119, 226,  41,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  37, 220,  54,   0,  24, 224,  69,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  74, 187,  12,   0,   1, 194,  84,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0, 134, 152,   0,   0,  59, 214, 140,  62,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  90, 247, 184, 149, 212, 246, 244, 151,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  17,  94, 159, 172, 150,  73, 122, 199,
           11,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   1,   5,   0,   0,  67, 229,
           69,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  73, 238,
           95,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  31, 222,
           94,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 186,
          122,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 159,
          185,   7,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  85,
          242,  65,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  11,
          124,  77,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   6,
           10,   9,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  27,  63, 140, 155, 212,
          247, 238, 124,  13,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  60, 140, 206, 255, 255, 255, 255,
          255, 255, 255,  91,   0,   0,   0],
         [  0,   0,   0,   0,   7, 103, 238, 255, 245, 205, 141,  78,  40,
          128, 250, 255, 104,   0,   0,   0],
         [  0,   0,   0,   0,  87, 251, 255, 240,  75,   0,   0,   0,   0,
          103, 255, 219,  42,   0,   0,   0],
         [  0,   0,   0,   0,  88, 254, 255, 246, 175, 153, 156, 157, 129,
          170, 255, 123,   0,   0,   0,   0],
         [  0,   0,   0,   0,  13, 153, 255, 255, 255, 255, 255, 255, 255,
          223,  98,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  19, 125, 204, 220, 225, 252, 255, 208,
           52,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  18,  17, 103, 252, 255,  94,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   5, 182, 255, 171,  17,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0, 121, 254, 219,  46,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  68, 247, 248,  69,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  29, 211, 255, 126,   1,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0, 100, 255, 180,  16,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0, 122, 225,  30,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  24,  47,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8),
  array([[  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,  23,  72, 114, 111, 129, 185, 168,
           80,  17,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  99, 235, 255, 237, 228, 231, 237, 236,
          251, 231, 111,   0,   0,   0,   0],
         [  0,   0,   0,   0,  60, 229, 254, 131,  62,  54,  54,  53,  55,
           88, 171, 239, 130,   9,   0,   0],
         [  0,   0,   0,   0, 159, 255, 113,   0,   0,   0,   0,   0,   0,
            0,  35, 235, 255,  59,   0,   0],
         [  0,   0,   0,   7, 202, 225,  36,   0,   0,   0,   0,   0,   0,
           11, 163, 255, 244,  52,   0,   0],
         [  0,   0,   0,   6, 200, 223,  35,   0,   0,   0,   0,   0,   0,
           91, 255, 248, 106,   1,   0,   0],
         [  0,   0,   0,   0, 163, 227,  40,   0,   0,   0,   0,   5,  88,
          219, 255, 132,   0,   0,   0,   0],
         [  0,   0,   0,   0, 138, 255, 130,   1,   0,   0,  57, 154, 246,
          255, 185,  19,   0,   0,   0,   0],
         [  0,   0,   0,   0,  45, 219, 255, 218, 209, 213, 245, 255, 255,
          236,  76,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,  51, 163, 213, 225, 216, 188, 249, 255,
          104,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,  31,  39,  28,  78, 254, 186,
           10,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 189, 252,  66,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,  88, 255, 200,  13,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  26, 219, 255, 113,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,  17, 126, 106,   3,   0,
            0,   0,   0,   0,   0,   0,   0],
         [  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
            0,   0,   0,   0,   0,   0,   0]], dtype=uint8)]]
In [28]:
len(digits[0])
Out[28]:
100
In [31]:
digits = np.array(digits).reshape(-1, CELL_SIZE, CELL_SIZE)
print(digits.shape)
digits
(5000, 20, 20)
Out[31]:
array([[[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]],

       [[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]],

       [[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]],

       ...,

       [[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]],

       [[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]],

       [[0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        ...,
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0],
        [0, 0, 0, ..., 0, 0, 0]]], dtype=uint8)
In [33]:
nsamples = digits.shape[0]
print(nsamples)
labels = np.repeat(np.arange(NCLASSES), nsamples // NCLASSES)
len(labels)
5000
Out[33]:
5000
In [34]:
for i in range(nsamples):
        #Image Moment is a particular weighted average of image pixel intensities, used to find centroids in pics
    m = cv2.moments(digits[i]) #create dict of moments
    print(m)
    if m['mu02'] > 1e-3:
        s = m['mu11'] / m['mu02']
        M = np.float32([[1, -s, 0.5*CELL_SIZE*s], [0, 1, 0]])
        digits[i] = cv2.warpAffine(digits[i], M, (CELL_SIZE, CELL_SIZE))
{'m00': 16057.0, 'm10': 159715.0, 'm01': 153330.0, 'm20': 1778211.0, 'm11': 1432409.0, 'm02': 1731578.0, 'm30': 21447085.0, 'm21': 15264499.0, 'm12': 15360345.0, 'm03': 21748926.0, 'mu20': 189565.4731269849, 'mu11': -92726.51410599751, 'mu02': 267413.52967553074, 'mu30': -11460.73992357403, 'mu21': 128828.43706039642, 'mu12': -92321.59115991835, 'mu03': 106783.14951122552, 'nu20': 0.0007352421974877641, 'nu11': -0.0003596459042465194, 'nu02': 0.0010371810222259742, 'nu30': -3.5079358182735785e-07, 'nu21': 3.943217382036501e-06, 'nu12': -2.82580547669292e-06, 'nu03': 3.2684489610307413e-06}
{'m00': 18198.0, 'm10': 179001.0, 'm01': 175563.0, 'm20': 1993399.0, 'm11': 1616986.0, 'm02': 1976745.0, 'm30': 24059685.0, 'm21': 17154180.0, 'm12': 17398156.0, 'm03': 24610311.0, 'mu20': 232691.33976261131, 'mu11': -109904.45845697331, 'mu02': 283022.2299703264, 'mu30': -125630.93673449755, 'mu21': 85211.28363080323, 'mu12': 74877.68013865175, 'mu03': 79057.78780300915, 'nu20': 0.0007026400469371698, 'nu11': -0.0003318699953663688, 'nu02': 0.0008546203445022484, 'nu30': -2.812143291897952e-06, 'nu21': 1.9073832121684484e-06, 'nu12': 1.6760741532938805e-06, 'nu03': 1.7696423621545408e-06}
{'m00': 18681.0, 'm10': 190735.0, 'm01': 187859.0, 'm20': 2070865.0, 'm11': 1832436.0, 'm02': 2173789.0, 'm30': 23684875.0, 'm21': 19086640.0, 'm12': 20454160.0, 'm03': 27594935.0, 'mu20': 123440.33188801468, 'mu11': -85624.40174508863, 'mu02': 284650.09517691773, 'mu30': 20444.874186556786, 'mu21': 10172.599898235407, 'mu12': -18353.031429730356, 'mu03': 10009.556464795023, 'nu20': 0.00035371773862844354, 'nu11': -0.0002453563539035395, 'nu02': 0.0008156636200370306, 'nu30': 4.2863155644410623e-07, 'nu21': 2.1327092980258326e-07, 'nu12': -3.847755850884885e-07, 'nu03': 2.0985268618778545e-07}
{'m00': 18989.0, 'm10': 189295.0, 'm01': 187951.0, 'm20': 2052487.0, 'm11': 1776980.0, 'm02': 2128785.0, 'm30': 23748367.0, 'm21': 18447690.0, 'm12': 19303062.0, 'm03': 26337583.0, 'mu20': 165468.3563115485, 'mu11': -96640.75649059983, 'mu02': 268467.0053188689, 'mu30': -11188.094053883106, 'mu21': 59161.897560490994, 'mu12': -5005.982972803526, 'mu03': -47405.87610582262, 'nu20': 0.00045889229297519307, 'nu11': -0.00026801316777045594, 'nu02': 0.0007445377618122916, 'nu30': -2.2516499399134173e-07, 'nu21': 1.1906575190169125e-06, 'nu12': -1.0074746606200114e-07, 'nu03': -9.5406275252192e-07}
{'m00': 23327.0, 'm10': 227525.0, 'm01': 234842.0, 'm20': 2547325.0, 'm11': 2175728.0, 'm02': 2798224.0, 'm30': 31139849.0, 'm21': 23548432.0, 'm12': 24959370.0, 'm03': 37143992.0, 'mu20': 328110.11488832673, 'mu11': -114854.84605821595, 'mu02': 433978.063360055, 'mu30': -106630.54751717299, 'mu21': 144042.23915596353, 'mu12': -21143.228618897498, 'mu03': 235127.88034448773, 'nu20': 0.0006029785181996135, 'nu11': -0.0002110724471502469, 'nu02': 0.0007975354544161108, 'nu30': -1.2830229231770185e-06, 'nu21': 1.7331758960825343e-06, 'nu12': -2.5440408606782203e-07, 'nu03': 2.829156066289689e-06}
{'m00': 21469.0, 'm10': 213803.0, 'm01': 214415.0, 'm20': 2423743.0, 'm11': 2140835.0, 'm02': 2507301.0, 'm30': 30163265.0, 'm21': 24467543.0, 'm12': 25172433.0, 'm03': 32608991.0, 'mu20': 294546.353253528, 'mu11': 5543.638269132003, 'mu02': 365897.4774791561, 'mu30': 159384.40200623497, 'mu21': 150744.4378540921, 'mu12': 92282.35945074586, 'mu03': 259521.57047899067, 'nu20': 0.0006390429060618187, 'nu11': 1.20273860821232e-05, 'nu02': 0.0007938451274177101, 'nu30': 2.3600232275598697e-06, 'nu21': 2.2320902816274053e-06, 'nu12': 1.3664355423516888e-06, 'nu03': 3.842765833254337e-06}
{'m00': 23686.0, 'm10': 226356.0, 'm01': 242011.0, 'm20': 2464588.0, 'm11': 2184218.0, 'm02': 2825207.0, 'm30': 29285922.0, 'm21': 22980786.0, 'm12': 24236390.0, 'm03': 36270979.0, 'mu20': 301409.80461031804, 'mu11': -128567.692645445, 'mu02': 352466.8108165157, 'mu30': -27854.77922597155, 'mu21': 256253.82086061966, 'mu12': -135515.93440709636, 'mu03': 201872.27104485035, 'nu20': 0.0005372469090758009, 'nu11': -0.00022916505841631262, 'nu02': 0.0006282533008765163, 'nu30': -3.2260449050840577e-07, 'nu21': 2.96784378181296e-06, 'nu12': -1.5694990299693178e-06, 'nu03': 2.3380153409177573e-06}
{'m00': 12946.0, 'm10': 130854.0, 'm01': 124254.0, 'm20': 1587662.0, 'm11': 1277371.0, 'm02': 1453270.0, 'm30': 21445260.0, 'm21': 15770273.0, 'm12': 15165121.0, 'm03': 19009512.0, 'mu20': 265031.89680210105, 'mu11': 21451.571914104745, 'mu02': 260696.5011586591, 'mu30': 39969.485842403024, 'mu21': 98451.42341290461, 'mu12': 64157.01010116236, 'mu03': 56957.02626787871, 'nu20': 0.001581346127573409, 'nu11': 0.00012799350035238143, 'nu02': 0.001555478444494588, 'nu30': 2.095991682620795e-06, 'nu21': 5.1627725567765275e-06, 'nu12': 3.3643805197812863e-06, 'nu03': 2.9868148365731025e-06}
{'m00': 21713.0, 'm10': 218124.0, 'm01': 218835.0, 'm20': 2352470.0, 'm11': 2166650.0, 'm02': 2566951.0, 'm30': 26852184.0, 'm21': 23153226.0, 'm12': 25118984.0, 'm03': 33270771.0, 'mu20': 161244.4956477685, 'mu11': -31718.053239994217, 'mu02': 361417.1159213376, 'mu30': -19862.931209307164, 'mu21': 81064.84492429113, 'mu12': -28696.171438846737, 'mu03': 114590.31514337659, 'nu20': 0.00034201506285705564, 'nu11': -6.72770374517289e-05, 'nu02': 0.0007666004171049218, 'nu30': -2.859194880978288e-07, 'nu21': 1.1668982145305263e-06, 'nu12': -4.130706873876741e-07, 'nu03': 1.6494848570693882e-06}
{'m00': 17434.0, 'm10': 175495.0, 'm01': 174994.0, 'm20': 1924839.0, 'm11': 1670629.0, 'm02': 2047424.0, 'm30': 22445581.0, 'm21': 17637773.0, 'm12': 18738941.0, 'm03': 26527324.0, 'mu20': 158262.48141562473, 'mu11': -90904.32740621781, 'mu02': 290919.4665595961, 'mu30': -116548.66944304854, 'mu21': 147308.04131630156, 'mu12': -46033.82733467035, 'mu03': 136063.37603189424, 'nu20': 0.0005206955756586732, 'nu11': -0.00029908213662048656, 'nu02': 0.0009571471251783866, 'nu30': -2.9041210565808855e-06, 'nu21': 3.6705728742738065e-06, 'nu12': -1.1470556284896191e-06, 'nu03': 3.3903820374096524e-06}
{'m00': 18948.0, 'm10': 186254.0, 'm01': 189930.0, 'm20': 1988370.0, 'm11': 1773661.0, 'm02': 2243468.0, 'm30': 22629152.0, 'm21': 18135169.0, 'm12': 20186443.0, 'm03': 29382132.0, 'mu20': 157540.7559636901, 'mu11': -93302.38505383139, 'mu02': 339657.3128562381, 'mu30': -13187.977967187762, 'mu21': 38524.01116912626, 'mu12': 4205.038977646269, 'mu03': 84891.9693070203, 'nu20': 0.00043879954947220333, 'nu11': -0.00025987589227856263, 'nu02': 0.0009460502772413221, 'nu30': -2.668515764414036e-07, 'nu21': 7.795124572474362e-07, 'nu12': 8.508668144383767e-08, 'nu03': 1.7177429241356489e-06}
{'m00': 17410.0, 'm10': 169190.0, 'm01': 165864.0, 'm20': 1875674.0, 'm11': 1612593.0, 'm02': 1904410.0, 'm30': 22863194.0, 'm21': 18029989.0, 'm12': 18450283.0, 'm03': 24483846.0, 'mu20': 231489.27283170586, 'mu11': 730.2682366454974, 'mu02': 324233.86582423886, 'mu30': 136219.60592805222, 'mu21': 146364.6173511739, 'mu12': -70646.2545437091, 'mu03': 162736.74772296846, 'nu20': 0.0007637185308861951, 'nu11': 2.409266649903112e-06, 'nu02': 0.0010696971338748087, 'nu30': 3.4059846924525795e-06, 'nu21': 3.6596468094180285e-06, 'nu12': -1.766412844286682e-06, 'nu03': 4.069009507608648e-06}
{'m00': 19255.0, 'm10': 184388.0, 'm01': 187768.0, 'm20': 1919842.0, 'm11': 1724278.0, 'm02': 2158928.0, 'm30': 21341606.0, 'm21': 17386914.0, 'm12': 19237950.0, 'm03': 27491872.0, 'mu20': 154122.21064658533, 'mu11': -73809.04149571573, 'mu02': 327880.385146715, 'mu30': 5205.1145466044545, 'mu21': 78895.84526741621, 'mu12': 3337.4912041043863, 'mu03': 44015.28639538586, 'nu20': 0.0004156982380659179, 'nu11': -0.0001990776564544627, 'nu02': 0.0008843585738230116, 'nu30': 1.0117459716256693e-07, 'nu21': 1.5335407686538341e-06, 'nu12': 6.487260272286411e-08, 'nu03': 8.555486781656384e-07}
{'m00': 15041.0, 'm10': 151303.0, 'm01': 145368.0, 'm20': 1825803.0, 'm11': 1509331.0, 'm02': 1658388.0, 'm30': 24561865.0, 'm21': 18564359.0, 'm12': 17569741.0, 'm03': 20916498.0, 'mu20': 303789.9816501562, 'mu11': 47020.348846486304, 'mu02': 253437.83551625558, 'mu30': 83562.85943572968, 'mu21': -27620.93398310244, 'mu12': -21482.170416331384, 'mu03': -10305.359527561814, 'nu20': 0.0013428268768871333, 'nu11': 0.00020784157479025365, 'nu02': 0.001120257933795999, 'nu30': 3.0117679994655536e-06, 'nu21': -9.95512188637351e-07, 'nu12': -7.742592086468075e-07, 'nu03': -3.714252032264375e-07}
{'m00': 20767.0, 'm10': 202532.0, 'm01': 207556.0, 'm20': 2334098.0, 'm11': 1982773.0, 'm02': 2340506.0, 'm30': 29979500.0, 'm21': 22521081.0, 'm12': 21969363.0, 'm03': 28872856.0, 'mu20': 358886.79838204826, 'mu11': -41435.20494053047, 'mu02': 266085.3741994512, 'mu30': 215852.95248105004, 'mu21': 1114.9657163294032, 'mu12': -28379.110017167404, 'mu03': 161858.01325744763, 'nu20': 0.0008321659800543514, 'nu11': -9.60775600650074e-05, 'nu02': 0.0006169833975422459, 'nu30': 3.4731503672332116e-06, 'nu21': 1.7940192814651786e-08, 'nu12': -4.566299197900932e-07, 'nu03': 2.6043526934573417e-06}
{'m00': 12993.0, 'm10': 132107.0, 'm01': 126062.0, 'm20': 1479603.0, 'm11': 1251428.0, 'm02': 1450516.0, 'm30': 17848499.0, 'm21': 13783940.0, 'm12': 14192536.0, 'm03': 18499208.0, 'mu20': 136398.2398214424, 'mu11': -30313.90979758324, 'mu02': 227424.50119295018, 'mu30': 30886.58891845122, 'mu21': 44822.47342866752, 'mu12': 32568.86244946206, 'mu03': 12782.776358705014, 'nu20': 0.0008079600530239655, 'nu11': -0.00017956557356958462, 'nu02': 0.0013471575020568456, 'nu30': 1.6050787749562e-06, 'nu21': 2.3292828136944053e-06, 'nu12': 1.6925012334680581e-06, 'nu03': 6.642806388410386e-07}
{'m00': 21984.0, 'm10': 219047.0, 'm01': 212799.0, 'm20': 2493413.0, 'm11': 1959970.0, 'm02': 2406877.0, 'm30': 30893747.0, 'm21': 21073616.0, 'm12': 20869140.0, 'm03': 30092673.0, 'mu20': 310844.3951510191, 'mu11': -160343.98075873358, 'mu02': 347041.9198962881, 'mu30': -144903.92159254476, 'mu21': 133384.14590232028, 'mu12': -8639.68959445227, 'mu03': 76235.32955693081, 'nu20': 0.0006431756739100811, 'nu11': -0.00033177161785986106, 'nu02': 0.0007180728499090382, 'nu30': -2.0221499204472642e-06, 'nu21': 1.861390202976952e-06, 'nu12': -1.2056780406010472e-07, 'nu03': 1.063872281057368e-06}
{'m00': 23561.0, 'm10': 234453.0, 'm01': 226814.0, 'm20': 2764283.0, 'm11': 2190631.0, 'm02': 2624312.0, 'm30': 36409497.0, 'm21': 25259593.0, 'm12': 24897431.0, 'm03': 33694880.0, 'mu20': 431266.1836933913, 'mu11': -66370.94142863201, 'mu02': 440848.199821739, 'mu30': 319443.8048922643, 'mu21': -30350.198525781278, 'mu12': 61044.43246838264, 'mu03': -56310.06649700552, 'nu20': 0.0007768872019702383, 'nu11': -0.00011956127544486311, 'nu02': 0.0007941483413330179, 'nu30': 3.748954520381668e-06, 'nu21': -3.5618632202331407e-07, 'nu12': 7.164102028012706e-07, 'nu03': -6.608482465582268e-07}
{'m00': 14211.0, 'm10': 139775.0, 'm01': 139831.0, 'm20': 1646913.0, 'm11': 1305028.0, 'm02': 1571115.0, 'm30': 21626657.0, 'm21': 14794956.0, 'm12': 14042706.0, 'm03': 19374073.0, 'mu20': 272129.3376961509, 'mu11': -70306.46098093013, 'mu02': 195229.5196678629, 'mu30': 74970.21314763278, 'mu21': -27035.45280282758, 'mu12': -26715.830564428354, 'mu03': 72907.74109113589, 'nu20': 0.0013474916596666346, 'nu11': -0.0003481336139444881, 'nu02': 0.0009667099905520017, 'nu30': 3.1140612254901164e-06, 'nu21': -1.1229800710458805e-06, 'nu12': -1.1097038220182381e-06, 'nu03': 3.0283916776772247e-06}
{'m00': 19153.0, 'm10': 185664.0, 'm01': 190597.0, 'm20': 1932844.0, 'm11': 1794449.0, 'm02': 2205363.0, 'm30': 21314532.0, 'm21': 18297051.0, 'm12': 20321071.0, 'm03': 28088305.0, 'mu20': 133067.41690596798, 'mu11': -53146.75043074158, 'mu02': 308677.55077533564, 'mu30': -1773.863356091082, 'mu21': 93146.05957011878, 'mu12': 635.8907062169164, 'mu03': -1372.961742453277, 'nu20': 0.0003627422221433474, 'nu11': -0.00014487821886982518, 'nu02': 0.0008414560325698289, 'nu30': -3.494042157139165e-08, 'nu21': 1.8347312818196571e-06, 'nu12': 1.2525366890440562e-08, 'nu03': -2.7043718964025293e-08}
{'m00': 16139.0, 'm10': 164763.0, 'm01': 154422.0, 'm20': 1847213.0, 'm11': 1527870.0, 'm02': 1733430.0, 'm30': 22156575.0, 'm21': 16766332.0, 'm12': 16812136.0, 'm03': 21317958.0, 'mu20': 165148.05365883908, 'mu11': -48623.710019208025, 'mu02': 255881.57172067673, 'mu30': -73608.5955748558, 'mu21': 84533.30006751022, 'mu12': 46042.31434241915, 'mu03': -164613.1380197443, 'nu20': 0.000634045196244941, 'nu11': -0.0001866787351001626, 'nu02': 0.0009823941473282812, 'nu30': -2.224523395657604e-06, 'nu21': 2.554678597570694e-06, 'nu12': 1.3914435487466328e-06, 'nu03': -4.974769235817644e-06}
{'m00': 18776.0, 'm10': 182180.0, 'm01': 189731.0, 'm20': 2087262.0, 'm11': 1787819.0, 'm02': 2275211.0, 'm30': 26393294.0, 'm21': 20174819.0, 'm12': 21000867.0, 'm03': 30341753.0, 'mu20': 319603.6915210909, 'mu11': -53105.242650191765, 'mu02': 357984.0953877291, 'mu30': -61126.121571403, 'mu21': 113630.23189305048, 'mu12': -1823.5833762744442, 'mu03': 115963.74536544085, 'nu20': 0.0009065789559230343, 'nu11': -0.00015063685656044174, 'nu02': 0.0010154477437011788, 'nu30': -1.2653747072246414e-06, 'nu21': 2.352264755511735e-06, 'nu12': -3.775008493148921e-08, 'nu03': 2.400570927259954e-06}
{'m00': 19850.0, 'm10': 194063.0, 'm01': 193023.0, 'm20': 2224799.0, 'm11': 1881140.0, 'm02': 2246149.0, 'm30': 28296017.0, 'm21': 21633264.0, 'm12': 21709682.0, 'm03': 28977225.0, 'mu20': 327547.2131486146, 'mu11': -5944.254357682774, 'mu02': 369177.78947103256, 'mu30': 140815.08627107367, 'mu21': 115366.88613753347, 'mu12': -134129.47452060645, 'mu03': -44338.090233463794, 'nu20': 0.0008312906322573321, 'nu11': -1.5086078479484736e-05, 'nu02': 0.0009369459598653189, 'nu30': 2.5365761682542606e-06, 'nu21': 2.0781643624379465e-06, 'nu12': -2.4161447295106164e-06, 'nu03': -7.98685325630584e-07}
{'m00': 8968.0, 'm10': 89845.0, 'm01': 90517.0, 'm20': 985907.0, 'm11': 892608.0, 'm02': 1096905.0, 'm30': 11613703.0, 'm21': 9705144.0, 'm12': 10674092.0, 'm03': 14823295.0, 'mu20': 85803.9642060661, 'mu11': -14227.39975468337, 'mu02': 183286.8812444246, 'mu30': 17256.886798838153, 'mu21': 39129.00701595144, 'mu12': -27935.94801635295, 'mu03': 51918.1997989323, 'nu20': 0.0010668814249413978, 'nu11': -0.00017690264854236626, 'nu02': 0.002278978259856343, 'nu30': 2.2658098021638837e-06, 'nu21': 5.137594554520185e-06, 'nu12': -3.6679585133776755e-06, 'nu03': 6.816801163871797e-06}
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{'m00': 14804.0, 'm10': 142192.0, 'm01': 142175.0, 'm20': 1478610.0, 'm11': 1295327.0, 'm02': 1565793.0, 'm30': 16414720.0, 'm21': 12754403.0, 'm12': 13635349.0, 'm03': 19187243.0, 'mu20': 112859.87408808433, 'mu11': -70259.84139421768, 'mu02': 200369.42360172933, 'mu30': 44681.12181398645, 'mu21': -96218.58976943861, 'mu12': -54522.13993205782, 'mu03': 301018.6433293894, 'nu20': 0.0005149693821846399, 'nu11': -0.00032058929187651035, 'nu02': 0.0009142675296655243, 'nu30': 1.675623248642135e-06, 'nu21': -3.6083719348058825e-06, 'nu12': -2.044679308102734e-06, 'nu03': 1.1288746042171888e-05}
{'m00': 9587.0, 'm10': 92895.0, 'm01': 92733.0, 'm20': 968541.0, 'm11': 925553.0, 'm02': 1009857.0, 'm30': 10625751.0, 'm21': 9898007.0, 'm12': 10430765.0, 'm03': 12141321.0, 'mu20': 68417.80974235956, 'mu11': 26999.53854177543, 'mu02': 112870.52988421824, 'mu30': -84999.08522300795, 'mu21': 6283.1219697044, 'mu12': 123248.31801513443, 'mu03': 189645.30619522184, 'nu20': 0.0007443954540457643, 'nu11': 0.0002937588009250103, 'nu02': 0.0012280473411520087, 'nu30': -9.44511898555931e-06, 'nu21': 6.981820386530007e-07, 'nu12': 1.3695383019344485e-05, 'nu03': 2.1073432465386605e-05}
{'m00': 18264.0, 'm10': 177104.0, 'm01': 177813.0, 'm20': 1899228.0, 'm11': 1683333.0, 'm02': 1970135.0, 'm30': 21786794.0, 'm21': 17572781.0, 'm12': 18419637.0, 'm03': 24040713.0, 'mu20': 181869.98335523438, 'mu11': -40900.111695137806, 'mu02': 238999.27020367957, 'mu30': -156957.57557440177, 'mu21': -124343.48536402942, 'mu12': 111837.72720625903, 'mu03': 206395.80658926442, 'nu20': 0.0005452168007732671, 'nu11': -0.00012261192110045094, 'nu02': 0.00071648116464099, 'nu30': -3.4817095250044734e-06, 'nu21': -2.758247862709736e-06, 'nu12': 2.4808390333750103e-06, 'nu03': 4.5783724875527524e-06}
{'m00': 8794.0, 'm10': 84141.0, 'm01': 87175.0, 'm20': 859819.0, 'm11': 886239.0, 'm02': 984455.0, 'm30': 9247683.0, 'm21': 9581761.0, 'm12': 10588287.0, 'm03': 12309001.0, 'mu20': 54757.835455992725, 'mu11': 52148.520695929066, 'mu02': 120288.45178530819, 'mu30': -26912.01310045086, 'mu21': 60453.4397597987, 'mu12': 135123.168031018, 'mu03': 165248.8742587585, 'nu20': 0.0007080653624472379, 'nu11': 0.0006743247044037286, 'nu02': 0.0015554319395994327, 'nu30': -3.7109066735868353e-06, 'nu21': 8.335945445945044e-06, 'nu12': 1.8632179767856143e-05, 'nu03': 2.2786223683848657e-05}
{'m00': 17357.0, 'm10': 169398.0, 'm01': 168727.0, 'm20': 1804324.0, 'm11': 1582660.0, 'm02': 1848933.0, 'm30': 20663562.0, 'm21': 16120658.0, 'm12': 16682344.0, 'm03': 22545937.0, 'mu20': 151061.20089877257, 'mu11': -64054.08342455514, 'mu02': 208741.69222791935, 'mu30': 105412.11397703737, 'mu21': -168845.27246035775, 'mu12': -117232.29002997116, 'mu03': 514155.16557698324, 'nu20': 0.000501422255357177, 'nu11': -0.0002126167591974848, 'nu02': 0.0006928829473170664, 'nu30': 2.6558519657277394e-06, 'nu21': -4.254046635146327e-06, 'nu12': -2.9536606010072734e-06, 'nu03': 1.295410893177005e-05}
{'m00': 17323.0, 'm10': 173517.0, 'm01': 168403.0, 'm20': 1957805.0, 'm11': 1675084.0, 'm02': 1882459.0, 'm30': 23944875.0, 'm21': 18533470.0, 'm12': 18622182.0, 'm03': 23272387.0, 'mu20': 219760.2451076603, 'mu11': -11736.028343820246, 'mu02': 245353.97148299962, 'mu30': -68097.75793406367, 'mu21': -263934.29225484654, 'mu12': -5415.618231903762, 'mu03': 201993.1481092684, 'nu20': 0.0007323234145320239, 'nu11': -3.9108840389127644e-05, 'nu02': 0.0008176112930589371, 'nu30': -1.7241500134550466e-06, 'nu21': -6.682485992902446e-06, 'nu12': -1.3711667653500775e-07, 'nu03': 5.114213736194293e-06}
In [7]:
perm = np.random.permutation(nsamples)
digits = digits[perm]
labels = labels[perm]
In [8]:
def calc_hog(digits):
        win_size = (20, 20)
        block_size = (10, 10)
        block_stride = (10, 10)
        cell_size = (10, 10)
        nbins = 9
        hog = cv2.HOGDescriptor(win_size, block_size, block_stride,
     cell_size, nbins)
        samples = []
        for d in digits: samples.append(hog.compute(d))
        return np.array(samples, np.float32)
In [10]:
ntrain = int(TRAIN_RATIO * nsamples)
fea_hog_train = calc_hog(digits[:ntrain])
fea_hog_test = calc_hog(digits[ntrain:])
labels_train, labels_test = labels[:ntrain], labels[ntrain:]
In [11]:
ntrain = int(TRAIN_RATIO * nsamples)
fea_hog_train = calc_hog(digits[:ntrain])
fea_hog_test = calc_hog(digits[ntrain:])
labels_train, labels_test = labels[:ntrain], labels[ntrain:]
In [15]:
svm_model = cv2.ml.SVM_create()
svm_model.setGamma(2)
svm_model.setC(1)
svm_model.setKernel(cv2.ml.SVM_RBF)
svm_model.setType(cv2.ml.SVM_C_SVC)
svm_model.train(fea_hog_train, cv2.ml.ROW_SAMPLE, labels_train)
Out[15]:
True
In [16]:
def eval_model(fea, labels, fpred):
    pred = fpred(fea).astype(np.int32)
    acc = (pred.T == labels).mean()*100
    conf_mat = np.zeros((NCLASSES, NCLASSES), np.int32)
    for c_gt, c_pred in zip(labels, pred):
        conf_mat[c_gt, c_pred] += 1
    return acc, conf_mat
In [17]:
svm_acc, svm_conf_mat = eval_model(fea_hog_test, labels_test,
lambda fea: svm_model.predict(fea)[1])
print('SVM accuracy (%):', svm_acc)
print('SVM confusion matrix:')
print(svm_conf_mat)
SVM accuracy (%): 94.89999999999999
SVM confusion matrix:
[[ 78   0   0   0   0   0   0   0   0   0]
 [  0  99   0   0   4   0   0   1   0   1]
 [  0   0  90   1   3   0   0   1   0   0]
 [  0   0   1 103   0   1   0   1   3   0]
 [  0   0   3   0  96   0   2   1   0   0]
 [  0   0   0   1   0  97   1   1   2   1]
 [  2   0   0   0   1   0  94   0   0   0]
 [  0   0   3   1   1   1   0  97   1   1]
 [  1   0   0   0   0   1   0   0 105   0]
 [  1   0   0   0   0   0   0   6   2  90]]
In [21]:
dir(digits_img)
Out[21]:
['T',
 '__abs__',
 '__add__',
 '__and__',
 '__array__',
 '__array_finalize__',
 '__array_interface__',
 '__array_prepare__',
 '__array_priority__',
 '__array_struct__',
 '__array_ufunc__',
 '__array_wrap__',
 '__bool__',
 '__class__',
 '__complex__',
 '__contains__',
 '__copy__',
 '__deepcopy__',
 '__delattr__',
 '__delitem__',
 '__dir__',
 '__divmod__',
 '__doc__',
 '__eq__',
 '__float__',
 '__floordiv__',
 '__format__',
 '__ge__',
 '__getattribute__',
 '__getitem__',
 '__gt__',
 '__hash__',
 '__iadd__',
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 '__ifloordiv__',
 '__ilshift__',
 '__imatmul__',
 '__imod__',
 '__imul__',
 '__index__',
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 '__int__',
 '__invert__',
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 '__ipow__',
 '__irshift__',
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 '__iter__',
 '__itruediv__',
 '__ixor__',
 '__le__',
 '__len__',
 '__lshift__',
 '__lt__',
 '__matmul__',
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 '__mul__',
 '__ne__',
 '__neg__',
 '__new__',
 '__or__',
 '__pos__',
 '__pow__',
 '__radd__',
 '__rand__',
 '__rdivmod__',
 '__reduce__',
 '__reduce_ex__',
 '__repr__',
 '__rfloordiv__',
 '__rlshift__',
 '__rmatmul__',
 '__rmod__',
 '__rmul__',
 '__ror__',
 '__rpow__',
 '__rrshift__',
 '__rshift__',
 '__rsub__',
 '__rtruediv__',
 '__rxor__',
 '__setattr__',
 '__setitem__',
 '__setstate__',
 '__sizeof__',
 '__str__',
 '__sub__',
 '__subclasshook__',
 '__truediv__',
 '__xor__',
 'all',
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 'astype',
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 'byteswap',
 'choose',
 'clip',
 'compress',
 'conj',
 'conjugate',
 'copy',
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 'cumprod',
 'cumsum',
 'data',
 'diagonal',
 'dot',
 'dtype',
 'dump',
 'dumps',
 'fill',
 'flags',
 'flat',
 'flatten',
 'getfield',
 'imag',
 'item',
 'itemset',
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 'max',
 'mean',
 'min',
 'nbytes',
 'ndim',
 'newbyteorder',
 'nonzero',
 'partition',
 'prod',
 'ptp',
 'put',
 'ravel',
 'real',
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 'round',
 'searchsorted',
 'setfield',
 'setflags',
 'shape',
 'size',
 'sort',
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 'std',
 'strides',
 'sum',
 'swapaxes',
 'take',
 'tobytes',
 'tofile',
 'tolist',
 'tostring',
 'trace',
 'transpose',
 'var',
 'view']
In [22]:
digits_img.shape
Out[22]:
(1000, 2000)